2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114811This paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show that a foliation in half-planes can be given, such that the restriction of a multidimensional size function to each of these half-planes turns out to be a classical size function in two scalar variables. This leads to the definition of a new distance between multidimensional size functions, and to the proof of their stability with respect to that distance.15 pages, 1 figure, uses psfragComputational GeometryComputer Vision and Pattern RecognitionI.3.5; I.5.1text